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1
Introduction
2
Examples of symmetry
3
Abstract symmetry
4
Mathematical symmetry
5
J function
6
Fundamental domain
7
Modular forms
8
Ramanujan
9
Watson
10
Graphs
11
Akers
12
Swagger
13
Under the hood
14
Harmonic mass forms
15
Explicit symmetric function
16
Quantum modular forms
17
Applications
Description:
Explore the concept of symmetry in mathematics through this 54-minute invited address given by Amanda Folsom at the 2019 Joint Mathematics Meetings. Delve into various examples of symmetry, from abstract to mathematical, and examine the J function, fundamental domains, and modular forms. Learn about the contributions of Ramanujan and Watson, and investigate graphs, Akers, and Swagger. Uncover the intricacies of harmonic mass forms, explicit symmetric functions, and quantum modular forms. Discover the applications of these concepts in modern mathematics.

Symmetry, Almost

Joint Mathematics Meetings
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